Analysis of an Unconditionally Convergent Stabilized Finite Element Formulation for Incompressible Magnetohydrodynamics.
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| Title: | Analysis of an Unconditionally Convergent Stabilized Finite Element Formulation for Incompressible Magnetohydrodynamics. |
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| Authors: | Badia, Santiago sbadia@cimne.upc.edu, Codina, Ramon1, Planas, Ramon rplanas@cimne.upc.edu |
| Source: | Archives of Computational Methods in Engineering. Nov2015, Vol. 22 Issue 4, p621-636. 16p. |
| Subjects: | Finite element method, Magnetohydrodynamics, Incompressible flow, Singular integrals, Reynolds number, Electric conductivity |
| Abstract: | In this work, we analyze a recently proposed stabilized finite element formulation for the approximation of the resistive magnetohydrodynamics equations. The novelty of this formulation with respect to existing ones is the fact that it always converges to the physical solution, even when it is singular. We have performed a detailed stability and convergence analysis of the formulation in a simplified setting. From the convergence analysis, we infer that a particular type of meshes with a macro-element structure is needed, which can be easily obtained after a straight modification of any original mesh. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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